Measurements of the Hubble constant and cosmic curvature with quasars: ultra-compact radio structure and strong gravitational lensing

Abstract

Although the Hubble constant $H_0$ and spatial curvature ${\Omega }_K$ have been measured with very high precision, they still suffer from some tensions. In this paper, we propose an improved method to combine the observations of ultra-compact structure in radio quasars and strong gravitational lensing with quasars acting as background sources to determine $H_0$ and ${\Omega }_K$ simultaneously. By applying the distance sum rule to the time-delay measurements of 7 strong lensing systems and 120 intermediate-luminosity quasars calibrated as standard rulers, we obtain stringent constraints on the Hubble constant ($H_0=78.3\pm 2.9\mathrm{km}{\mathrm{s}}^{-1}\mathrm{Mp}{\mathrm{c}}^{-1}$) and the cosmic curvature (${\Omega }_K=0.49\pm 0.24$). On the one hand, in the framework of a flat universe, the measured Hubble constant ($H_0=73.6_{-1.6}^{+1.8}\mathrm{km}{\mathrm{s}}^{-1}\mathrm{Mp}{\mathrm{c}}^{-1}$) is strongly consistent with that derived from the local distance ladder, with a precision of 2\%. On the other hand, if we use the local $H_0$ measurement as a prior, our results are marginally compatible with zero spatial curvature (${\Omega }_K=0.23_{-0.17}^{+0.15}$) and there is no significant deviation from a flat universe. Finally, we also evaluate whether strongly lensed quasars would produce robust constraints on $H_0$ and ${\Omega }_K$ in the non-flat and flat $\Lambda$CDM model if the compact radio structure measurements are available from VLBI observations.

7 pages, 4 figures

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